document.write( "Question 663628: if person A can paint a house for 6 hours and person B can paint a house for 4 hours. How many hours they can finish in one day if they will join together painting a house? \n" ); document.write( "
Algebra.Com's Answer #413266 by ReadingBoosters(3246)\"\" \"About 
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Rate(A) = 1/6
\n" ); document.write( "Rate(B) = 1/4
\n" ); document.write( "Rate(A+B) = 1/6 + 1/4 = 1/x
\n" ); document.write( "where x is the hours working together
\n" ); document.write( "...
\n" ); document.write( "Create a common denominator
\n" ); document.write( "4/24 + 6/24 = 10/24 = 1/x
\n" ); document.write( "The inverse of 1/x is x, so invert the other side of the equation also
\n" ); document.write( "x = 24/10 = 12/5 = 2 2/5 hours or 2.4 hours
\n" ); document.write( "..
\n" ); document.write( "Alternatively,
\n" ); document.write( "10/24 = 1/x
\n" ); document.write( "Multiply both sides by x
\n" ); document.write( "x(10/24) = 1
\n" ); document.write( "Multiply both sides by 24/10
\n" ); document.write( "x = 24/10 = 2.4 hours
\n" ); document.write( ".........................
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